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Finding the Third Proportional to 61,675,452,409 and 83,214,666,730

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Solution

The third proportional to 61,675,452,409 and 83,214,666,730 is: 112,276,124,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,675,452,409 : 83,214,666,730 = 83,214,666,730 : x
  2. Step 2: Convert to fraction form
    61,675,452,409/83,214,666,730 = 83,214,666,730/x
  3. Step 3: Cross multiply
    61,675,452,409x = 83,214,666,730 × 83,214,666,730
  4. Step 4: Simplify right side
    61,675,452,409x = 6,924,680,758,984,969,289,728
  5. Step 5: Solve for x
    x = 6,924,680,758,984,969,289,728/61,675,452,409
  6. Step 6: Final answer
    x = 112,276,124,268.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.